Manuscript Topics

The interplay between complex and algebraic geometry has proven to be highly fruitful over the years. Hodge theory, Index methods and, in general, analytics techniques in algebraic geometry are profound tools arising from the interactions between these areas. Furthermore, these topics have proven to exhibit an unparalleled ability to uncover unexpected relationships between mathematics and theoretical physics.

In this vein, the aim of this special issue is to bring together cutting-edge contributions in the field, with a view towards their application to problems in differential geometry. We are seeking high-quality papers that contain original research results and techniques providing insight into the interplay between complex and algebraic geometry. Potential topics include, but are not limited to:  
● Hodge theory.  
● Kähler and Calabi-Yau geometry.  
● Moduli space theory.  
● Singularity theory.  
● Arithmetic geometry.  
● Analytic methods in complex geometry.  
● Integrable and super-integrable systems.  
● Mirror symmetry and string theory.  
● Conformal and Cohomological Field Theories.  
● Effective and computer-assisted methods in algebraic geometry.

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